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Finding the Third Proportional to 463,894.50 and 718,287

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Solution

The third proportional to 463,894.50 and 718,287 is: 1,112,184.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,894.50 : 718,287 = 718,287 : x
  2. Step 2: Convert to fraction form
    463,894.50/718,287 = 718,287/x
  3. Step 3: Cross multiply
    463,894.50x = 718,287 × 718,287
  4. Step 4: Simplify right side
    463,894.50x = 515,936,214,369
  5. Step 5: Solve for x
    x = 515,936,214,369/463,894.50
  6. Step 6: Final answer
    x = 1,112,184.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.